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LCM of 253, 362, 144, 871, 406

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 253, 362, 144, 871, 406 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 253, 362, 144, 871, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,362,144,871,406

Given numbers are 253,362,144,871,406

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 253,362,144,871,406 is 1165938870096.

Find LCM of 253,362,144,871,406 with Prime Factorization


2 253, 362, 144, 871, 406
253, 181, 72, 871, 203

Multiply the prime numbers at the bottom and the left side.

2 x 253 x 181 x 72 x 871 x 203 = 1165938870096

Therefore, the lowest common multiple of 253,362,144,871,406 is 1165938870096.

LCM Formula to Find Lowest Common Multiple of 253,362,144,871,406

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

253 x 362 x 144 x 871 x 406 = 4663755480384

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

253 : 1, 11, 23, 253

362 : 1, 2, 181, 362

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

871 : 1, 13, 67, 871

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,362,144,871,406, is 1.

Now, the common factors can be found like this.

253:11x 23

362:2x 181

144:2x 2x 2x 2x 3x 3

871:13x 67

406:2x 7x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 4663755480384/(1x4)

LCM = 4663755480384/4

LCM = 1165938870096

Thus, we can understand that the LCM of 253,362,144,871,406 is 1165938870096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 362, 144, 871, 406

1. What is the LCM of 253, 362, 144, 871, 406?

Answer: LCM of 253, 362, 144, 871, 406 is 1165938870096.

2. How to calculate the LCM of 253, 362, 144, 871, 406?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 253, 362, 144, 871, 406.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.